4 ( 11 + 7 ) = ? + 28

The answers are in order 3/50,1/20, greater than.

Answer:

1.b 2.a 3.b

Step-by-step explanation:

This is called a mathematical model. this is an equation that indicates how the variables are related to one another. this is called mathematical model.

A mathematical model is an equation or a set of equations that describe how different variables are related to one another in a given system or process. It is a simplified representation of the real-world problem that allows us to study and understand the behavior of the system. Mathematical models can be used in a wide range of fields, including physics, biology, economics, and engineering, among others. By creating a mathematical model, we can predict how changes in one variable will affect the other variables in the system. Mathematical models are useful tools for making decisions and solving problems in many different areas of research and development.

Learn more about mathematical model here

https://brainly.com/question/28592940

#SPJ11

The first six terms of the sequence are -7, -14, -28, -56, -112, -224.

To find the first six terms of the sequence, we need to determine the pattern or rule that generates the terms.

The given information suggests that the sequence is defined recursively, with the first term given as a₁ = -7, and the subsequent terms defined as an = -20n - 1.

Using this recursive formula, we can calculate the values of the sequence:

a₂ = -20(2) - 1 = -40 - 1 = -41

a₃ = -20(3) - 1 = -60 - 1 = -61

a₄ = -20(4) - 1 = -80 - 1 = -81

a₅ = -20(5) - 1 = -100 - 1 = -101

a₆ = -20(6) - 1 = -120 - 1 = -121

Therefore, the first six terms of the sequence are -7, -14, -28, -56, -112, and -224, matching the option A: -7, -14, -28, -56, -112, -224.

To learn more about  sequence,

brainly.com/question/30262438

#SPJ11

the surface integral is zero because y² is an odd function and the surface S is symmetric with respect to the xy-plane.

We can see that the surface S is the upper hemisphere of the unit sphere with

radius

1 centered at the origin, cut by the cone z = √(x² + y²). We can use spherical coordinates to evaluate the surface integral. Since the surface is

symmetric

with respect to the xy-plane, we only need to integrate over the upper hemisphere. We have:

∫∫S y²dS = ∫∫D y²r²sinφdφdθ

where D is the region in the xy-plane that projects to the upper hemisphere of the sphere, which is the disk x² + y² ≤ 1/2. We have r = 1, and sinφ = √(1 - cos²φ). We can then evaluate the integral using the substitution u = cosφ. We get:

∫∫S y²dS = 2π∫[0,1] ∫[0,√(1 - u²)] (1 - u²) u² du dθ = 2π/15

Therefore, the surface

integral

is 2π/15.

To learn more about

integral

brainly.com/question/31059545

#SPJ11

Answer:

∠A ≈ 71.57

Step-by-step explanation:

You use inverse tangent since it gives you the opposite and adjacent sides: \(tan^-1\)

\(tan^-1(9/3)\)

≈ 71.565

Round to nearest hundredth:

≈ 71.57

Answer:

Option (A)

Step-by-step explanation:

Let the Sine of the given angle θ is,

Sinθ = \(\frac{x}{y}\)

Then θ = \(\text{Sin}^{-1}(\frac{x}{y} )\)

From the given values in the question,

Sinθ = \(\frac{7}{29}\)

θ = \(\text{Sin}^{-1}(\frac{7}{29} )\)

θ = 13.97°

Therefore, measure of the angle 'θ' will be 13.97°.

Option (A) will be the answer.

using the properties of boundedness and the definitions of infimum and supremum, we have established the relationships inf(aS) = a inf S, sup(aS) = a sup S, inf(bS) = b sup S, and sup(bS) = b inf S. These results hold for any nonempty bounded set S in ℝ and for any positive constants a and b.

(a) To prove that inf(aS) = a inf S and sup(aS) = a sup S, we need to show two things: (i) inf(aS) is bounded below by a inf S, and (ii) inf(aS) is the greatest lower bound of aS.

(i) Boundedness: Since S is a bounded set, there exists a lower bound, let's call it L, such that L ≤ s for all s ∈ S. Now, consider the set aS = {as : s ∈ S}. Since a > 0, it follows that aL is a lower bound for aS. Hence, a inf S ≤ inf(aS).

(ii) Greatest lower bound: Let M be any lower bound of aS. This means M ≤ as for all as ∈ aS. Dividing both sides by a (since a > 0), we get M/a ≤ s for all s ∈ S. Since M/a is a lower bound for S, it follows that M/a ≤ inf S. Multiplying both sides by a, we obtain M ≤ a inf S. Therefore, a inf S is the greatest lower bound of aS, which implies inf(aS) = a inf S.

Similarly, we can apply a similar argument to show that sup(aS) = a sup S.

(b) To prove that inf(bS) = b sup S and sup(bS) = b inf S, we follow a similar approach as in part (a).

(i) Boundedness: Since S is bounded, there exists an upper bound, let's call it U, such that U ≥ s for all s ∈ S. Considering the set bS = {bs : s ∈ S}, we have bU as an upper bound for bS. Hence, sup(bS) ≤ b sup S.

(ii) Least upper bound: Let N be any upper bound of bS. This implies N ≥ bs for all bs ∈ bS. Dividing both sides by b (since b > 0), we get N/b ≥ s for all s ∈ S. Since N/b is an upper bound for S, it follows that N/b ≥ sup S. Multiplying both sides by b, we obtain N ≥ b sup S. Therefore, b sup S is the least upper bound of bS, which implies sup(bS) = b sup S.

Similarly, we can show that inf(bS) = b sup S.

To learn more about supremum : brainly.com/question/30967807

#SPJ11

Answer:

él tendría 3/10 de un pastel

Step-by-step explanation:

disculpas si mi español no es bueno, no es mi lengua materna

primero, encontramos un denominador común, en este caso, ya que 4 multiplicado por 5 nos da 20, usaremos un denominador de 20, luego multiplicamos los numeradores y obtenemos 6, luego dividimos por 2 para obtener 3/10, y ya que no puede dividir limpiamente más, la respuesta que nos queda es 3/10.

The teacher's goal in introducing students to a card game where they must find the missing addend could be to develop and enhance their algebraic reasoning skills.

By presenting the problem as a puzzle or game, the teacher aims to engage the students in a fun and interactive way while fostering their ability to think critically and solve mathematical problems. The game helps students practice identifying the missing addend and applying algebraic thinking to find the solution. Additionally, it promotes the development of problem-solving strategies, logical reasoning, and the ability to generalize mathematical patterns, which are foundational skills in algebraic reasoning.

To know more about card game,

https://brainly.com/question/24664118

#SPJ11

Answer:

Step-by-step explanation:

1. 2310/35805 -> 3/10

2. 480/720 -> 2/3

3. 120/600 -> 1/5

4. 315/1680 -> 3/16

5. 126/840 -> 3/20

6. 1848/252​ -> 22/3

Answer:

oh srry ur not a scam

Step-by-step explanation:

Answer:

#1: (Problem 3² × 3³, Answer: 243) (Problem 3⁵, Answer: 243), yes the answer matches

#2: (Problem 2³ × 2⁴, Answer: 128) (Problem 2¹², Answer: 4096), No, the answer doesn't match.

#3: (Problem (-2)⁴ × (-2)², Answer: 64) (Problem (-2)⁸, Answer: 256), No the answer doesn't match.

#4: (Problem (-3)² × (-3)⁵, Answer: -2187) (Problem (-3)⁷, Answer: -2187), yes the answer matches

The pattern is: When 2 whole numbers raised to a power are multiplied together, the base stays the same and the exponent add up

Hope this helps!

Answer:

The equation written in slope intercept form would be: y=200x+500

and it would be graphed at: 0,500

Step-by-step explanation:

To find the slope intercept equation use the y=mx+b form so m would be 200 and b would be 500.

Answer:

ok

Step-by-step explanation:

Answer: 6 of the specials were salmon filets.

Step-by-step explanation: 10% of 60 is 6.

10/100 x 60.

Answer:

DC = 8

Step-by-step explanation:

The median is half the sum of the parallel bases, that is

\(\frac{AB+DC}{2}\) = XY , substitute values

\(\frac{16+DC}{2}\) = 12 ( multiply both sides by 2 to clear the fraction )

16 + DC = 24 ( subtract 16 from both sides )

DC = 8

Answer:

DC = 8

Step-by-step explanation:

The median XY of the trapezoid ABCD is half or the sum of AB and DC.

                    XY                                         = 1/2      ( AB + DC)

We need to find out DC so we can rewrite this equation isolating DC

XY = (1/2)(AB+DC), multiply both sides by 2

2XY = AB + DC, subtract from both sides AB

2XY - AB = DC, now substitute the given AB = 16 and XY = 12

2* 12 - 16 = DC , using the order of operations rules we multiply first

24 -16 = DC, subtract

8 = DC

For the demand of apartments in terms of rent: The equation of the line giving the demand x in terms of the rent p is x = -0.0263p + $62.5764.

For the value of the taffy-pulling machine during its useful life: The equation of the line giving the value V of the taffy-pulling machine during the 5 years it will be in use is V = -$177t + $885.

For the first scenario:

We are given two data points: when the rent is $98 per month, all 60 units are occupied, and when the rent is $630 per month, the average number of occupied units drops to 46.

Let's assign the rent as p and the demand (number of occupied units) as x. We are told that the relationship between the monthly rent p and the demand x is linear.

We can find the equation of the line using the slope-intercept form:

y = mx + b

where y represents the demand x, m represents the slope, and b represents the y-intercept.

Using the given data points, we can calculate the slope:

Slope (m) = (change in y) / (change in x)

Slope (m) = (46 - 60) / ($630 - $98)

= -14 / $532

= -0.0263 (rounded to four decimal places)

Now, we can use one of the data points (let's use p = $98, x = 60) to find the y-intercept:

60 = -0.0263($98) + b

Solving for b:

60 = -$2.5764 + b

b = 60 + $2.5764

b = $62.5764 (rounded to four decimal places)

Therefore, the equation of the line giving the demand x in terms of the rent p is:

x = -0.0263p + $62.5764

For the second scenario:

We are given that the taffy-pulling machine is purchased for $885 and has a useful life of 5 years. The depreciation of the machine is assumed to be linear.

Let's assign the value of the machine as V and the number of years since purchase as t. We want to find the linear equation that gives the value of the taffy-pulling machine during the 5 years it will be in use.

Since the useful life of the machine is 5 years, the initial value is $885, and the final value is $0 (since it will have to be replaced after 5 years), we can use the slope-intercept form to find the equation:

y = mx + b

where y represents the value V, m represents the slope, t represents the number of years since purchase, and b represents the initial value.

Using the given data points, we can calculate the slope:

Slope (m) = (change in y) / (change in x)

Slope (m) = ($0 - $885) / (5 - 0)

= -$177

Now, we can use one of the data points (let's use t = 0, V = $885) to find the initial value:

$885 = -$177(0) + b

Solving for b:

$885 = b

Therefore, the equation of the line giving the value V of the taffy-pulling machine during the 5 years it will be in use is:

V = -$177t + $885

To know more about equation,

https://brainly.com/question/32716919

#SPJ11

60,20,,30 is the answer

Answer:

Step-by-step explanation:

correct answer is 6 marbles, no doubt.

The vertex form of a quadratic equation is y = a(x-h)^2 + k, where (h,k) is the vertex.

To write the vertex form of a quadratic equation given the vertex (-4, 5) and a-value of 5, you can use the vertex form equation:

y = a(x - h)² + k

where (h, k) is the vertex and a is the a-value.

In this case, h = -4, k = 5, and a = 5. Substitute these values into the equation:

y = 5(x - (-4))² + 5

Simplify the equation:

y = 5(x + 4)² + 5

So, the vertex form of the quadratic equation is:

y = 5(x + 4)² + 5

Learn more about quadratic equation here: brainly.com/question/30098550

#SPJ11

The vertex form of the quadratic equation is: y = 5\((x + 4 )^2\) + 5

A quadratic equation's vertex form is provided by:

y = a\((x - h)^2\) + k

where "a" is the coefficient of the parabola and "(h, k)" is its vertex \(x^2.\)

Given that the vertex is (-4, 5) and a-value is 5, we can substitute the values into the vertex form equation:

h = -4

k = 5

a = 5

When we enter these numbers into the equation, we obtain:

y = 5(x -\((-4) ^2\) + 5

Simplifying the equation, we get:

y = 5\((x + 4)^2\) + 5

So, the vertex form of the quadratic equation is:

y = 5\((x + 4 )^2\) + 5

Learn more about “  quadratic equation “ visit here;

https://brainly.com/question/30098550

#SPJ4

..................false

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

g(x) is f(x) shifted 3 units right and 1 unit up , then

g(x) = (x - 3)² + 1 → B

Answer:

The equation of the blue graph is \(g(x)=(x-3)^{2} +1\). Below is the explanation

Step-by-step explanation:

Given:

   The graph of f(x)=\(x^{2}\)

To find:

    The equation of the transformed graph g(x).

The red graph f(x) is moved right 3 units and up 1 unit to get g(x).

When graph is moved right 3 units , 3 should be subtracted with x.

When graph is moved up 1 unit, 1 is added at the end.

So, our g(x)=\((x-3)^{2} +1\)

The equation of the blue graph is \(g(x)=(x-3)^{2} +1\)

You can learn more:

https://brainly.com/question/20389973

Answer:

yes

Step-by-step explanation:

Answer:

yes !!!!!!

Step-by-step explanation:

i did this last week haha

Answer:

5

Step-by-step explanation:

First multiply 7 and 4

7 * 4 = 28

Then divide 140 by 28

140/28 = 5

Height is 5

The symmetric property says that if k = 3, then 3 = k.

According to the question,

We have the following information:

k = 3 and 3 = k

The symmetric property states that if we change the sides of any expression then there is no change in the final result.

For example, if we say x = 4 then it can also be rewritten as 4 = x without any change in the result.

(More to know: there are other properties of equality which are helpful in solving expressions. For example, there is division property, reflexive property and substitution property.)

Hence, the symmetric property says that if k = 3, then 3 = k.

To know more about symmetric property here

https://brainly.com/question/8554407

#SPJ1

The enhanced entity-relationship (EER) diagram for AutoPlanet's information system includes entities such as Dealership, City, Employee, Dependent, Category, Training Program, Mechanic, Car, Customer, and more. The diagram also includes attributes for each entity, capturing relevant information like addresses, phone numbers, employee numbers, and sales commission percentages.

The enhanced entity-relationship (EER) diagram for AutoPlanet's information system captures the entities and relationships involved in the system. The main entities in the diagram are Dealership, City, Employee, Dependent, Category, Training Program, Mechanic, Car, Customer, and Salesperson.

The Dealership entity is identified by a unique dealership number and stores information such as address, phone number, and the name of the general manager. The City entity is identified by state and city names and stores data about the mayor, city hall address, and telephone number.

The Employee entity has attributes like employee number, name, home address, and cell phone number. Employees can have dependents, represented by the Dependent entity, which stores their names, ages, and gender. The Category entity represents the different employee categories, such as salesperson and mechanic.

The relationships between entities include Employee-Dependent (one-to-many), Employee-Category (many-to-many), Salesperson-Car (many-to-many), Mechanic-Training Program (many-to-many), and more.

The Car entity is identified by its vehicle identification number (VIN) and includes attributes for model and year of manufacture. The Customer entity is identified by a unique customer number and stores information like name, address, and telephone number. The Salesperson entity is linked to the Car and Customer entities, capturing data about which salesperson sold a car to a customer, along with the sale date and selling price.

The EER diagram provides a visual representation of the entities, relationships, and attributes in AutoPlanet's information system, allowing for a better understanding of the system's structure and data flow.

LEARN MORE ABOUT commission HERE:

https://brainly.com/question/20987196

#SPJ11

In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ1

No, the equation 2/3y = 6 does not involve the subtraction property of equality. The subtraction property of equality states that if you subtract the same quantity from both sides of an equation, the equality still holds true. However, in the given equation, there is no subtraction involved.

The equation 2/3y = 6 is a linear equation in which the variable y is multiplied by the fraction 2/3. To solve this equation, we need to isolate the variable y on one side of the equation.

To do that, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. This operation is an application of the multiplicative property of equality.

By multiplying both sides of the equation by 3/2, we get:

(2/3y) * (3/2) = 6 * (3/2)

Simplifying this expression, we have:

(2/3) * (3/2) * y = 9

The fractions (2/3) and (3/2) cancel out, leaving us with:

1 * y = 9

This simplifies to:

y = 9

Therefore, the solution to the equation 2/3y = 6 is y = 9. The process of solving this equation did not involve the subtraction property of equality.

For more questions on variable, click on:

https://brainly.com/question/28248724

#SPJ8